Finding the Fourth Proportional to 10,607.76, 14,638.76 and 5,892.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,607.76 : 14,638.76 = 5,892.48 : x
2. Step 2: Convert to fraction form
   10,607.76/14,638.76 = 5,892.48/x
3. Step 3: Cross multiply
   10,607.76x = 14,638.76 × 5,892.48
4. Step 4: Simplify right side
   10,607.76x = 86,258,600.52
5. Step 5: Solve for x
   x = 86,258,600.52/10,607.76
6. Step 6: Final answer
   x = 8,131.65